Earlier quoted context omitted.
There are many different ways to construct an electronic voting system. What you are describing is a traditional, centralized electronic voting system. There are electronic voting systems out there that provide certain guarantees without the need to trust.
No, there aren’t. There are systems designed to solve the problem of the inventor not getting paid by election officials but voting is an extremely hard problem once you learn about it and safe electronic voting is unsolved. The big challenge is that it needs to be anonymous even in the case of attacks. Electronic systems offer many ways to cheat which you may have thought about in the context of making purchases but…
Yes there are, and I've documented several of them here: https://www.attejuvonen.fi/thesis/
If you disagree, can you please be specific what exactly do you disagree about?